A002806 - OEIS

A002806

Number of ways of getting nothing, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, or a royal flush in 5-card poker.

1302540, 1098240, 123552, 54912, 10200, 5108, 3744, 624, 36, 4

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

REFERENCES

J. Scarne, Scarne's Complete Guide to Gambling, Simon and Schuster, 1961, p. 582.

LINKS

Table of n, a(n) for n=1..10.

Index entries for sequences related to poker

FORMULA

From Jianing Song, Apr 06 2019: (Start)

a(n) = A002761(11-n) for 1 <= n <= 10.

Sum_{i=1..10} a(i) = binomial(52,5) = A017768(5). (End)

CROSSREFS

Cf. A002761.

Sequence in context: A258535 A258528 A254920 * A216076 A053082 A053081

Adjacent sequences: A002803 A002804 A002805 * A002807 A002808 A002809

KEYWORD

fini,full,nonn

AUTHOR

N. J. A. Sloane, Koreen M Mielke (mielkk72(AT)VAXA.CIS.UWOSH.EDU)

STATUS

approved